📄 smdef1.m
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%SMdef1.m SYNCHRONOUS MACHINE PARAMETERS AND OPERATING POINT
clear,clc,close all
disp(date)
% ------------------------ DATA --------------------------------------------
% Machine parameters (pu) :
Ra=.018;Ld=1.15;Lq=.75;Lal=0.15; Rth=0 ; Lth=0 ;Ra=Ra+Rth;Lal=Lal+Lth;
Rf=0.001; Lfl=0.2; Rkd=0.02; Lkdl=0.11; Rkq=0.04; Lkql=0.15;
Hi=4.0; freq0=60.0;wo=2*pi*freq0 ;bet=0 ;
% Loading conditions:
V=1.0 ; I=1.25 ; pf=0.80 ;
% ----------------------------------------------------------------------------
disp(' MACHINE PARAMETERS in per unit: ')
disp(' Ra Ld Lq Lal ')
disp([Ra Ld Lq Lal])
disp(' Rf Lfl Rkd Lkdl Rkq Lkql H ')
param1=[Rf Lfl Rkd Lkdl Rkq Lkql Hi];
disp(param1)
%
disp(' V I power factor ')
param2=[V I pf];
disp(param2)
thetapf=acos(pf);
% --------------------- MODE OF OPERATION (motor convention) --------------
% theta=thetapf <=== under-excited motor (lagging pf).
% theta=-thetapf <=== over-excited motor (leading pf).
% theta=thetapf-pi <=== over-excited generator (lagging pf).
% theta=-thetapf+pi<=== under-excited generator (leading pf).
s1='Under-excited motor'; s2='Over-excited motor';
s3='Over-excited generator'; s4='Under-excited generator';
k=menu('Choose operating mode:',s1,s2,s3,s4,'CLOSE');
k=num2str(k);
switch k
case '1',
theta=thetapf; mode=s1;
case '2',
theta=-thetapf; mode=s2;
case '3',
theta=thetapf-pi; mode=s3;
case '4',
theta=-thetapf+pi;mode=s4;
case '5', close all,clc,break;
end
% Steady-state calculation of operating point:
j=sqrt(-1);
Lmd=Ld-Lal;Lmq=Lq-Lal ;
Eq1=V-(Ra+j*Lq)*I*exp(-j*theta);
delta0=-angle(Eq1);
Eq=abs(Eq1);
Ia=I*exp(j*(pi/2+delta0-theta));
Vt=V*exp(j*(pi/2+delta0)) ;
id0=real(Ia) ; iq0=imag(Ia) ;
vd0=real(Vt) ; vq0=imag(Vt) ;
Ef0=vq0-Ra*iq0-Ld*id0; if0=Ef0/Lmd;
Te0=Eq*iq0;
disp(' Operating point (motor conventions) : ')
disp(' vd0 vq0 id0 iq0 if0 Te0 ')
disp([vd0 vq0 id0 iq0 if0 Te0])
disp(' delta0 theta0 ')
disp([delta0*180/pi theta*180/pi])
figure(1)
axis([-2.5 2.5 -2.5 2.5])
axis square
x1=[0 vd0 0 0] ; y1=[0 vq0 0 Ef0]; x3=[vd0-.1 id0-.1 -.1 if0+.1];
x2=[0 id0 0 if0]; y2=[0 iq0 0 0] ; y3=[vq0+.1 iq0+.1 Ef0+.1 -.1];
phasor=['Vt'
'Ia'
'Ef'
'If'];
figure(1)
plot(x1,y1,'b'),hold on,grid,
plot(x2,y2,'r'),
plot(vd0,vq0,'ob',id0,iq0,'or',0,Ef0,'wo',if0,0,'*g',0,0,'ok'),
title(' PHASORS along d-q axes'),
text(x3,y3,phasor),text(-2.3,-2.3,mode),hold off,pause(4);
close
(1)
% PARAMS
R=[Ra Rf Rkd Rkq]
L=[Lal+Lmd 0 Lmd Lmd 0
0 Lal+Lmq 0 0 Lmq
Lmd 0 Lmd+Lfl Lmd 0
Lmd 0 Lmd Lmd+Lkdl 0
0 Lmq 0 0 Lmq+Lkql]
% Initial conditions:
phid=Ld*id0+Lmd*if0 ; phiq=Lq*iq0 ;
phif=(Lmd+Lfl)*if0+Lmd*id0;
phikd=Lmd*(id0+if0) ; phikq=Lmq*iq0;
n=1.0 ; Tl=Te0 ; vf0=Rf*if0 ;
ic=[phid phiq phif phikd phikq n delta0]'
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